83882305 has 24 divisors (see below), whose sum is σ = 111113208. Its totient is φ = 60742656.

The previous prime is 83882291. The next prime is 83882317. The reversal of 83882305 is 50328838.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 63170704 + 20711601 = 7948^2 + 4551^2 .

It is not a de Polignac number, because 83882305 - 2¹¹ = 83880257 is a prime.

It is a super-2 number, since 2×83882305² = 14072482184226050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43849 + ... + 45721.

It is an arithmetic number, because the mean of its divisors is an integer number (4629717).

Almost surely, 2^83882305 is an apocalyptic number.

It is an amenable number.

83882305 is a deficient number, since it is larger than the sum of its proper divisors (27230903).

83882305 is a wasteful number, since it uses less digits than its factorization.

83882305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 83882305 is about 9158.7283505954. The cubic root of 83882305 is about 437.7472757232.

The spelling of 83882305 in words is "eighty-three million, eight hundred eighty-two thousand, three hundred five".